Start with the equation a − 12 = b .
Add 12 to both sides of the equation: a − 12 + 12 = b + 12 .
Simplify to isolate a : a = b + 12 .
The solution for a is b + 12 .
Explanation
Understanding the Problem We are given the equation a − 12 = b and we want to solve for a . This means we want to isolate a on one side of the equation.
Isolating a To isolate a , we need to get rid of the − 12 on the left side of the equation. We can do this by adding 12 to both sides of the equation: a − 12 + 12 = b + 12 a = b + 12
Final Answer Therefore, the solution for a in terms of b is a = b + 12 .
Examples
Imagine you are baking cookies and the recipe requires you to add 12 more chocolate chips than the number of nuts you add. If you decide to add 'b' number of nuts, then the number of chocolate chips 'a' you need to add is represented by the equation a = b + 12. This simple algebraic equation helps you determine the exact amount of chocolate chips needed based on the quantity of nuts you choose to include, ensuring your cookies are perfectly balanced!
To solve for a in the equation a − 12 = b , we add 12 to both sides, resulting in a = b + 12 . This shows that a is the value of b plus 12. Thus, the final solution is a = b + 12 .
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